The Athena plus plus Adaptive Mesh Refinement Framework: Multigrid Solvers for Self-gravity

doi:10.3847/1538-4365/acc2c0

The Athena plus plus Adaptive Mesh Refinement Framework: Multigrid Solvers for Self-gravity

2023-04-27

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DOI：10.3847/1538-4365/acc2c0

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We describe the implementation of multigrid solvers in the Athena++ adaptive mesh refinement (AMR) framework and their application to the solution of the Poisson equation for self-gravity. The new solvers are built on top of the AMR hierarchy and TaskList framework of Athena++ for efficient parallelization. We adopt a conservative formulation for the Laplacian operator that avoids artificial accelerations at level boundaries. Periodic, fixed, and zero-gradient boundary conditions are implemented, as well as open boundary conditions based on a multipole expansion. Hybrid parallelization using both Message Passing Interface and OpenMP is adopted, and we present results of tests demonstrating the accuracy and scaling of the methods. On a uniform grid, we show that multigrid significantly outperforms methods based on fast Fourier transforms, and requires only a small fraction of the computing time required by the (highly optimized) magnetohydrodynamic solver in Athena++. As a demonstration of the capabilities of the methods, we present the results of a test calculation of magnetized protostellar collapse on an adaptive mesh.

Keyword:

POISSON SOLVER

MAGNETOHYDRODYNAMICS

CODE

TREE

SIMULATIONS

ACCRETION

EXTENSION

TRANSPORT

COLLAPSE

TURBULENCE

The Athena plus plus Adaptive Mesh Refinement Framework: Multigrid Solvers for Self-gravity

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